Operator theory on noncommutative polydomains, II

被引：2
|
作者：
Popescu, Gelu [1 ]
机构：
[1] Univ Texas San Antonio, Dept Math, San Antonio, TX 78249 USA
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 517卷 / 01期
关键词：
Noncommutative polydomains; Wold decomposition; Dilation theory; Fock spaces; Characteristic functions; C*-algebras; INVARIANT SUBSPACES; POISSON TRANSFORMS; BEREZIN TRANSFORMS; ANALYTIC MODELS; STANDARD MODELS; INTERPOLATION; DILATIONS; TUPLES;
D O I：
10.1016/j.jmaa.2022.126577
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The goal of this paper is to continue the study of noncommutative polydomains and their universal operator models generated by admissible k-tuples of formal power series in several noncommuting indeterminates. We develop a dilation theory on admissible noncommutative polydomains and obtain a complete description for the invariant subspaces of the corresponding universal operator models. (c) 2022 Elsevier Inc. All rights reserved.
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页数：46
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